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math.NA2020
Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems
Yi-Shu Du, Ken Hayami, Ning Zheng +2
We propose using greedy and randomized Kaczmarz inner-iterations as preconditioners for the right-preconditioned flexible GMRES method to solve consistent linear systems, with a pa…
math.NA2018
Convergence of the Conjugate Gradient Method on Singular Systems
Ken Hayami
We analyze the convergence of the Conjugate Gradient (CG) method in exact arithmetic, when the coefficient matrix is symmetric positive semidefinite and the system is consisten…
math.NA2018
Cluster Gauss-Newton method for finding multiple approximate minimisers of nonlinear least squares problems with applications to parameter estimation of pharmacokinetic models
Yasunori Aoki, Ken Hayami, Kota Toshimoto +1
Parameter estimation problems of mathematical models can often be formulated as nonlinear least squares problems. Typically these problems are solved numerically using iterative me…